Gravitating relativistic material bodies: a mathematical analysis

The aims of this project are (1) to establish the local-in-time existence and geometric uniqueness of solutions to the Einstein-Elastic equations representing systems of gravitating relativistic material bodies, and (2) to understand the long time behaviour of these solutions. Successful outcomes from this project would provide a rigorous mathematical foundation for the study of gravitating relativistic material bodies that is applicable to astrophysical systems, and they would significantly improve current understanding of the behaviour of matter and
gravitational fields near the matter-vacuum boundary of bodies, which would help to understand the physics of these boundaries and design numerical methods to simulate their dynamics.